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Finding the Fourth Proportional to 516,314.25, 712,314 and 380,670.03

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Solution

The fourth proportional to 516,314.25, 712,314 and 380,670.03 is: 525,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,314.25 : 712,314 = 380,670.03 : x
  2. Step 2: Convert to fraction form
    516,314.25/712,314 = 380,670.03/x
  3. Step 3: Cross multiply
    516,314.25x = 712,314 × 380,670.03
  4. Step 4: Simplify right side
    516,314.25x = 271,156,591,749.42
  5. Step 5: Solve for x
    x = 271,156,591,749.42/516,314.25
  6. Step 6: Final answer
    x = 525,177.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.